Distance sets of well-distributed planar sets for polygonal norms
| dc.creator | Konyagin, Sergei | |
| dc.creator | Laba, Izabella | |
| dc.date | 2004-05-01 | |
| dc.date.accessioned | 2026-07-07T05:07:52Z | |
| dc.date.available | 2026-07-07T05:07:52Z | |
| dc.description | Let X be a 2-dimensional normed space, and let BX be the unit ball in X. We discuss the question of how large the set of extremal points of BX must be if X contains a well-distributed set whose distance set Delta satisfies the estimate |Δ\cap[0,N]|<CN^{3/2 -ε}. We also give a necessary and sufficient condition for the existence of a well-distributed set with |Δ\cap [0,N]| < CN. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0405017 | |
| dc.identifier | http://arxiv.org/abs/math/0405017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71034 | |
| dc.subject | Combinatorics | |
| dc.subject | Metric Geometry | |
| dc.subject | 52C10, 11B75 | |
| dc.title | Distance sets of well-distributed planar sets for polygonal norms | |
| dc.type | text |